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Height of Oloid given Surface Area Calculator

Height of Oloid Formula:

\[ h = 2 \times \sqrt{\frac{SA}{4\pi}} \]

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1. What is Height of Oloid?

The Height of an Oloid is defined as the distance between the center of the circular base to any point on the circumference of the Oloid. It is an important geometric measurement in understanding the three-dimensional properties of this unique shape.

2. How Does the Calculator Work?

The calculator uses the Height of Oloid formula:

\[ h = 2 \times \sqrt{\frac{SA}{4\pi}} \]

Where:

Explanation: The formula calculates the height of an oloid based on its surface area, using the mathematical constant π and square root function.

3. Importance of Height Calculation

Details: Calculating the height of an oloid is crucial for understanding its geometric properties, volume calculations, and applications in various engineering and design fields where this unique shape is utilized.

4. Using the Calculator

Tips: Enter the surface area of the oloid in square meters. The value must be valid (surface area > 0). The calculator will compute the corresponding height.

5. Frequently Asked Questions (FAQ)

Q1: What is an Oloid?
A: An oloid is a three-dimensional curved geometric shape that was discovered by Paul Schatz in 1929. It's the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes.

Q2: What are the applications of Oloids?
A: Oloids have applications in mixing technology, architecture, and artistic design due to their unique rolling properties and aesthetic appeal.

Q3: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric relationship between surface area and height of a perfect oloid shape.

Q4: Can this formula be used for partial oloids?
A: No, this formula applies specifically to complete, perfect oloid shapes with the standard geometric properties.

Q5: What units should I use for input?
A: The calculator expects surface area in square meters, but you can use any consistent unit system as long as you interpret the height result in the same unit length.

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